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Finding the Fourth Proportional to 175,770, 242,575.56 and 108,714.96

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Solution

The fourth proportional to 175,770, 242,575.56 and 108,714.96 is: 150,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,770 : 242,575.56 = 108,714.96 : x
  2. Step 2: Convert to fraction form
    175,770/242,575.56 = 108,714.96/x
  3. Step 3: Cross multiply
    175,770x = 242,575.56 × 108,714.96
  4. Step 4: Simplify right side
    175,770x = 26,371,592,302.38
  5. Step 5: Solve for x
    x = 26,371,592,302.38/175,770
  6. Step 6: Final answer
    x = 150,034.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.